Efficiency properties of cell means variance component estimates

Peter H. Westfall, Ronald H. Bremer

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Variance component estimates based on cell means have been shown to have useful diagnostic properties and computational simplicity. Here we establish analytic efficiency properties under conditions involving sample sizes and parameters, in general k-way unbalanced factorial models. The cell means estimates are also established as a special case of the minimum norm quadratic unbiased (or MINQUE) estimates.

Original languageEnglish
Pages (from-to)159-178
Number of pages20
JournalJournal of Statistical Planning and Inference
Issue number2
StatePublished - Feb 1994


  • MINQUE estimate
  • MIVQUE estimate
  • Mixed model
  • relative efficiency


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